To solve the equation, we need to simplify it step by step.

1) We start by simplifying the expression inside the brackets:
7/10 - 2 1/2x = 7/10 - (5x + 1)
= 7/10 - 5x - 1
= 7/10 - 5x - 10/10
= (7 - 10 - 50x)/10
= (-3 - 50x)/10

So, the equation becomes:
1 3/4 - (-3 - 50x)/10 = 1 17/100

2) Next, we convert all the mixed numbers to improper fractions:
1 3/4 = 4/4 + 3/4 = 7/4
1 17/100 = 100/100 + 17/100 = 117/100

The equation now becomes:
7/4 - (-3 - 50x)/10 = 117/100

3) Multiply both sides by 10 to get rid of the fraction:
10(7/4) + 10(-3 - 50x)/10 = 10(117/100)
70/4 - 3 - 50x = 1170/100

4) Simplify the left side:
17.5 - 3 - 50x = 11.7
14.5 - 50x = 11.7

5) Now, solve for x:
14.5 - 50x = 11.7
-50x = 11.7 - 14.5
-50x = -2.8
x = -2.8 / -50
x = 0.056

Therefore, the value of x is 0.056.